481144191 has 32 divisors (see below), whose sum is σ = 729388800. Its totient is φ = 279444480.

The previous prime is 481144187. The next prime is 481144193. The reversal of 481144191 is 191441184.

It is not a de Polignac number, because 481144191 - 2² = 481144187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481144193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131215 + ... + 134831.

It is an arithmetic number, because the mean of its divisors is an integer number (22793400).

Almost surely, 2^481144191 is an apocalyptic number.

481144191 is a deficient number, since it is larger than the sum of its proper divisors (248244609).

481144191 is a wasteful number, since it uses less digits than its factorization.

481144191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799.

The product of its digits is 4608, while the sum is 33.

The square root of 481144191 is about 21934.9992249829. Note that the first 3 decimals coincide. The cubic root of 481144191 is about 783.5951673773.

The spelling of 481144191 in words is "four hundred eighty-one million, one hundred forty-four thousand, one hundred ninety-one".